What is (-3+3i)/(-5-4i) ?

The solution to (-3+3i)/(-5-4i) is 3/41-27/41 i

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simplify (-3+3i)/(-5-4i)

simplify

\frac{- 3 + 3 i}{- 5 - 4 i}

\frac{3}{41} - \frac{27}{41} i

Solution steps

\frac{- 3 + 3 i}{- 5 - 4 i}

Multiply by the conjugate

\frac{- 5 + 4 i}{- 5 + 4 i}

= \frac{( - 3 + 3 i ) ( - 5 + 4 i )}{( - 5 - 4 i ) ( - 5 + 4 i )}

Simplify

\frac{( - 3 + 3 i ) ( - 5 + 4 i )}{( - 5 - 4 i ) ( - 5 + 4 i )} : \frac{3 - 27 i}{41}

= \frac{3 - 27 i}{41}

Rewrite in standard complex form:

\frac{3}{41} - \frac{27}{41} i

= \frac{3}{41} - \frac{27}{41} i

\frac{18}{100}

33 \frac{1}{3}

(28 - 4 i) - (10 - 30 i)

(\frac{81}{16})^{- \frac{1}{4}}

- 0^{2}